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233142441 = 37241101383
BaseRepresentation
bin11011110010101…
…11100010101001
3121020200212022020
431321113202221
5434141024231
635045015053
75530451400
oct1571274251
9536625266
10233142441
1110a66a404
12660b4489
13393bc70c
1422d6c637
1515704396
hexde578a9

233142441 has 48 divisors (see below), whose sum is σ = 375072768. Its totient is φ = 128352000.

The previous prime is 233142347. The next prime is 233142449. The reversal of 233142441 is 144241332.

It is not a de Polignac number, because 233142441 - 29 = 233141929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233142449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608536 + ... + 608918.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2233142441 is an apocalyptic number.

233142441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233142441 is a deficient number, since it is larger than the sum of its proper divisors (141930327).

233142441 is a wasteful number, since it uses less digits than its factorization.

233142441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 233142441 is about 15269.0026196867. The cubic root of 233142441 is about 615.4703177423.

Adding to 233142441 its reverse (144241332), we get a palindrome (377383773).

The spelling of 233142441 in words is "two hundred thirty-three million, one hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 7 21 41 49 101 123 147 287 303 383 707 861 1149 2009 2121 2681 4141 4949 6027 8043 12423 14847 15703 18767 28987 38683 47109 56301 86961 109921 116049 202909 270781 329763 608727 769447 812343 1586003 1895467 2308341 4758009 5686401 11102021 33306063 77714147 233142441